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Finding the Third Proportional to 50,423 and 110,890

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Solution

The third proportional to 50,423 and 110,890 is: 243,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,423 : 110,890 = 110,890 : x
  2. Step 2: Convert to fraction form
    50,423/110,890 = 110,890/x
  3. Step 3: Cross multiply
    50,423x = 110,890 × 110,890
  4. Step 4: Simplify right side
    50,423x = 12,296,592,100
  5. Step 5: Solve for x
    x = 12,296,592,100/50,423
  6. Step 6: Final answer
    x = 243,868.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.